236 citations · 661 across the 32 of their papers we have counts for
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math.AG2007★ 18 cited
Introduction to Tropical Geometry (notes from the IMPA lectures in Summer 2007)
Grigory Mikhalkin
These condensed notes treat some basic notions in Tropical Geometry (varieties, cycles, modifications, equivalence). These topics are to be extended, illustrated and included to th…
math.AG2007★ 8 cited
Enumeration of curves via floor diagrams
Erwan Brugallé, Grigory Mikhalkin
In this note we compute some enumerative invariants of real and complex projective spaces by means of some enriched graphs called floor diagrams.
math.AG2007★ 91 cited
Moduli spaces of rational tropical curves
Grigory Mikhalkin
This note is devoted to the definition of moduli spaces of rational tropical curves with n marked points. We show that this space has a structure of a smooth tropical variety of di…